Adaptive Deterministic Dyadic Grids on Spaces of Homogeneous Type

@article{RichardLechner2014,
abstract = {In the context of spaces of homogeneous type, we develop a method to deterministically construct dyadic grids, specifically adapted to a given combinatorial situation. This method is used to estimate vector-valued operators rearranging martingale difference sequences such as the Haar system.},
author = {Richard Lechner, Markus Passenbrunner},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {space of homogeneous type; vector-valued space; UMD-space; adaptive dyadic grid; rearrangement operator; stripe operator; martingale difference sequence; vector-valued theorem},
language = {eng},
number = {2},
pages = {139-159},
title = {Adaptive Deterministic Dyadic Grids on Spaces of Homogeneous Type},
url = {http://eudml.org/doc/281344},
volume = {62},
year = {2014},
}

TY - JOUR
AU - Richard Lechner
AU - Markus Passenbrunner
TI - Adaptive Deterministic Dyadic Grids on Spaces of Homogeneous Type
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2014
VL - 62
IS - 2
SP - 139
EP - 159
AB - In the context of spaces of homogeneous type, we develop a method to deterministically construct dyadic grids, specifically adapted to a given combinatorial situation. This method is used to estimate vector-valued operators rearranging martingale difference sequences such as the Haar system.
LA - eng
KW - space of homogeneous type; vector-valued space; UMD-space; adaptive dyadic grid; rearrangement operator; stripe operator; martingale difference sequence; vector-valued theorem
UR - http://eudml.org/doc/281344
ER -